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NDA2022MathematicsLimitsActual

If f(x)= x 2+x+|x| x then what is _ x 0 f(x) equal to?

Options

  1. A0
  2. B1
  3. C2
  4. D_ x 0 f(x) does not exist

Correct answer

D. _ x 0 f(x) does not exist

Step-by-step solution

aligned & L.H.L. = _ x 0⁺ f(x)= _ x 0⁻ = x^2+x-x x = _ x 0⁻ x=0 & R.H.L. = _ x 0⁺ f(x)= _ x 0⁺ x^2+2 x x = _ x 0⁺ x+2=2 & L.H.L R.H.L. & _ x 0 f(x) does not exist. aligned

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